Question: Question: Suppose that you are given a decision situation with three possible states of nature: S 1, S 2, and S 3. The prior probabilities

Question: Suppose that you are given a decision situation with three possible states of nature:S1,S2, andS3. The prior probabilities areP(S1) = 0.16,P(S2) = 0.57, andP(S3) = 0.27. With sample informationI,P(I|S1) = 0.13,P(I|S2) = 0.07, andP(I|S3) = 0.19. Compute the revised or posterior probabilities:P(S1|I),P(S2|I), andP(S3|I). If required, round your answers to four decimal places.

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